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4082441104 = 247614911217
BaseRepresentation
bin1111001101010101…
…0001101110010000
3101112111211111101101
43303111101232100
531330101103404
61513032514144
7203111114440
oct36325215620
911474744341
104082441104
111805482475
1295b24b954
13500a27c31
142aa294120
1518d60c2a4
hexf3551b90

4082441104 has 80 divisors (see below), whose sum is σ = 9214160256. Its totient is φ = 1716019200.

The previous prime is 4082441093. The next prime is 4082441107. The reversal of 4082441104 is 4011442804.

4082441104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (4082441107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3353904 + ... + 3355120.

Almost surely, 24082441104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4082441104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4607080128).

4082441104 is an abundant number, since it is smaller than the sum of its proper divisors (5131719152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4082441104 is a wasteful number, since it uses less digits than its factorization.

4082441104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1784 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 4082441104 is about 63893.9833161151. The cubic root of 4082441104 is about 1598.2325670819.

Adding to 4082441104 its reverse (4011442804), we get a palindrome (8093883908).

The spelling of 4082441104 in words is "four billion, eighty-two million, four hundred forty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 61 112 122 244 427 488 491 854 976 982 1217 1708 1964 2434 3416 3437 3928 4868 6832 6874 7856 8519 9736 13748 17038 19472 27496 29951 34076 54992 59902 68152 74237 119804 136304 148474 209657 239608 296948 419314 479216 519659 593896 597547 838628 1039318 1187792 1195094 1677256 2078636 2390188 3354512 4157272 4182829 4780376 8314544 8365658 9560752 16731316 33462632 36450367 66925264 72900734 145801468 255152569 291602936 510305138 583205872 1020610276 2041220552 4082441104